Time Series Analysis and Inverse Theory for Geophysicists

Author: David Gubbins

Publisher: Cambridge University Press

ISBN: 9780521525695

Category: Mathematics

Page: 255

View: 7869

The first textbook covering spectral analysis and geophysical data inversion for undergraduate and graduate students.

Geophysical Data Analysis

Discrete Inverse Theory

Author: William Menke

Publisher: Academic Press

ISBN: 0128135565

Category: Science

Page: 352

View: 9768

Geophysical Data Analysis: Diverse Inverse Theory, Fourth Edition is a revised and expanded introduction to inverse theory and tomography as it is practiced by geophysicists. It demonstrates the methods needed to analyze a broad spectrum of geophysical datasets, with special attention to those methods that generate images of the earth. Data analysis can be a mathematically complex activity, but the treatment in this volume is carefully designed to emphasize those mathematical techniques that readers will find the most familiar and to systematically introduce less-familiar ones. Using problems and case studies, along with MATLAB computer code and summaries of methods, the book provides data scientists and engineers in geophysics with the tools necessary to understand and apply mathematical techniques and inverse theory. Includes material on probability, including Bayesian influence, probability density function and metropolis algorithm Offers detailed discussion of the application of inverse theory to tectonic, gravitational and geomagnetic studies Contains numerous examples, color figures and end-of-chapter homework problems to help readers explore and further understand presented ideas Includes MATLAB examples and problem sets Updated and refined throughout to bring the text in line with current understanding and improved examples and case studies Expanded sections to cover material, such as second-derivation smoothing and chi-squared tests not covered in the previous edition

Geophysical Data Analysis: Discrete Inverse Theory

MATLAB Edition

Author: William Menke

Publisher: Academic Press

ISBN: 0123977843

Category: Science

Page: 330

View: 6067

Since 1984, Geophysical Data Analysis has filled the need for a short, concise reference on inverse theory for individuals who have an intermediate background in science and mathematics. The new edition maintains the accessible and succinct manner for which it is known, with the addition of: MATLAB examples and problem sets Advanced color graphics Coverage of new topics, including Adjoint Methods; Inversion by Steepest Descent, Monte Carlo and Simulated Annealing methods; and Bootstrap algorithm for determining empirical confidence intervals Additional material on probability, including Bayesian influence, probability density function, and metropolis algorithm Detailed discussion of application of inverse theory to tectonic, gravitational and geomagnetic studies Numerous examples and end-of-chapter homework problems help you explore and further understand the ideas presented Use as classroom text facilitated by a complete set of exemplary lectures in Microsoft PowerPoint format and homework problem solutions for instructors

Deconvolution and Inverse Theory

Application to Geophysical Problems

Author: V. Dimri

Publisher: Elsevier

ISBN: 1483291375

Category: Science

Page: 249

View: 2410

This is the first study to present simultaneously both deconvolution and inversion, two powerful tools of data analysis. Featured within this volume are various geophysical convolution models and a treatment of deconvolution for a time-varying signal. The single channel time-varying deconvolution is shown equivalent to the multichannel time-invariant deconvolution, thus a formalism and associated algorithms can handle both. Inverse theory as well as various inversion schemes are presented on the basis of a relationship between a small perturbation to the model and its effects on the observation. The information theory inversion scheme is discussed, and several types of norm of minimization presented. Additionally, concepts and results of inverse theory are applied to design a new deconvolution operator for estimating magnetization and density distribution, and the constraint of the Backus-Gilbert formalism of inverse theory is used to design a new prediction error filter for maximum entropy spectral estimates. Maximum likelihood, another high resolution method is also presented. This volume can be utilised as a graduate-level text for courses in Geophysics. Some chapters will be of use for graduate courses in Applied Mathematics, Applied Statistics, and Oceanography.

Time Sequence Analysis in Geophysics

Author: E. R. Kanasewich

Publisher: University of Alberta

ISBN: 9780888640741

Category: Science

Page: 480

View: 9063

Time sequence analysis is the study of relations between a sequence of data points or sequence of signals in order to determine the physical properties of the earth. Providing an up-to-date treatment on time series and time sequence, this book is intended for senior or graduate students in seismology, geomagnetism and exploratory geophysics.

The Leading Edge

Author: N.A

Publisher: N.A


Category: Geophysics

Page: N.A

View: 8963

Seismology and Plate Tectonics

Author: David Gubbins

Publisher: Cambridge University Press

ISBN: 9780521379953

Category: Science

Page: 339

View: 6084

This introduction to seismological theory and the principles of plate tectonics also develops a practical approach to the interpretation of seismograms for physicists and mathematicians as well as geologists.

Seismic Inverse Q Filtering

Author: Yanghua Wang

Publisher: Wiley-Blackwell


Category: Nature

Page: 238

View: 9754

Seismic inverse Q filtering is a data processing technology for enhancing the resolution of seismic images. It employs a wave propagation reversal procedure that compensates for energy absorption and corrects wavelet distortion due to velocity dispersion. By compensating for amplitude attenuation, seismic data can provide true relative-amplitude information for amplitude inversion and subsequent reservoir characterization. By correcting the phase distortion, seismic data with enhanced vertical resolution can yield correct timings for lithological identification. This monograph presents the theory of inverse Q filtering and a series of algorithms, collected with the following selection criteria in mind: robustness, effectiveness and practicality. The book is written for processing geophysicists who are attempting to improve the quality of seismic data in terms of resolution and signal-to-noise ratio, as well as for reservoir geophysicists who are concerned about seismic fidelity in terms of true amplitudes, true timings and true frequencies. It will also be particularly valuable as a guide for seasoned geophysicists who are attempting to develop seismic software for various research settings. Finally, it can be used as a reference work or textbook for postgraduate students in seismic and reservoir geophysics.

Geophysical Data Analysis

Understanding Inverse Problem Theory and Practice

Author: N.A

Publisher: SEG Books

ISBN: 156080257X

Category: Electronic books

Page: 296

View: 7205

Geophysical data analysis is a very practical subject and this book is intended to be a simple guide to the techniques of parameter estimation and error analysis. I have placed emphasis on the reconciliation of theory and practical data to enable the reader understand how to tackle typical problems in data analysis. It is hoped that a mastery of the simple techniques described in this book will inspire confidence in the reader to consult the more classical treatment of the subject. It is pertinent to mention that this book developed out of a highly successful course of the same title given to senior undergraduate geophysics students in Leicester University since 1988 and its popularity stems from the structured learning programs and the simple effective practical approach to geophysical inversion. The course is given in the first semester to provide students with the basic tools for quantitative analysis of geoscientific data and consists of 10 lectures and practical sessions involving the materials given in Chapters 1 to 9 in this book. Chapter 10 derives from topical issues of research interest to me and my induction courses for postgraduate students in geophysics and the industry. The contents of this book are easily digestible and require little statistical or mathematical commitment.

Parameter Estimation and Inverse Problems

Author: Richard C. Aster,Brian Borchers,Clifford H. Thurber

Publisher: Elsevier

ISBN: 0128134232

Category: Science

Page: 404

View: 2195

Parameter Estimation and Inverse Problems, Third Edition, is structured around a course at New Mexico Tech and is designed to be accessible to typical graduate students in the physical sciences who do not have an extensive mathematical background. The book is complemented by a companion website that includes MATLAB codes that correspond to examples that are illustrated with simple, easy to follow problems that illuminate the details of particular numerical methods. Updates to the new edition include more discussions of Laplacian smoothing, an expansion of basis function exercises, the addition of stochastic descent, an improved presentation of Fourier methods and exercises, and more. Complemented by a companion website that includes MATLAB codes that correspond to all examples Features examples that are illustrated with simple, easy to follow problems that illuminate the details of a particular numerical method Includes an online instructor’s guide that helps professors teach and customize exercises and select homework problems Covers updated information on adjoint methods that are presented in an accessible manner

Rutschungen und ihre Sanierung

Author: Ch. Veder

Publisher: Springer-Verlag

ISBN: 3709185327

Category: Technology & Engineering

Page: 232

View: 9270

Time series analysis

theory and practice 6 : hydrological, geophysical, and spatial applications : proceedings of the international conferenece held at Toronto, Canada, 10-14 August 1983

Author: Oliver Duncan Anderson,J. K. Ord,Enders A. Robinson

Publisher: North Holland

ISBN: 9780444876836

Category: Science

Page: 308

View: 8151

Good,No Highlights,No Markup,all pages are intact, Slight Shelfwear,may have the corners slightly dented, may have slight color changes/slightly damaged spine.

Statistical Methods of Geophysical Data Processing

Author: Vladimir Troyan,Yurii Kiselev

Publisher: World Scientific

ISBN: 981429375X

Category: Electronic books

Page: 436

View: 3257

This textbook contains a consideration of the wide field of problems connected with statistical methods of processing of observed data, with the main examples and considered models related to geophysics and seismic exploration. This textbook will be particularly helpful to students and professionals from various fields of physics, connected with an estimation of the parameters of the physical objects by experimental data. The reader can also find many important topics, which are the basis for statistical methods of estimation and inverse problem solutions.

Nonlinear Ocean Waves and the Inverse Scattering Transform

Author: Alfred Osborne

Publisher: Academic Press

ISBN: 9780080925103

Category: Science

Page: 944

View: 3817

For more than 200 years, the Fourier Transform has been one of the most important mathematical tools for understanding the dynamics of linear wave trains. Nonlinear Ocean Waves and the Inverse Scattering Transform presents the development of the nonlinear Fourier analysis of measured space and time series, which can be found in a wide variety of physical settings including surface water waves, internal waves, and equatorial Rossby waves. This revolutionary development will allow hyperfast numerical modelling of nonlinear waves, greatly advancing our understanding of oceanic surface and internal waves. Nonlinear Fourier analysis is based upon a generalization of linear Fourier analysis referred to as the inverse scattering transform, the fundamental building block of which is a generalized Fourier series called the Riemann theta function. Elucidating the art and science of implementing these functions in the context of physical and time series analysis is the goal of this book. Presents techniques and methods of the inverse scattering transform for data analysis Geared toward both the introductory and advanced reader venturing further into mathematical and numerical analysis Suitable for classroom teaching as well as research

GPS in der Praxis

Author: Bernhard Hofmann-Wellenhof,Gerhard Kienast,Herbert Lichtenegger

Publisher: Springer-Verlag

ISBN: 3709193699

Category: Science

Page: 146

View: 9373

Das satellitengestützte Positionierungssystem GPS wurde ursprünglich für die militärische Navigation konzipiert und entwickelt. Bald wurden aber auch die Anwendungsmöglichkeiten im zivilen Bereich erkannt. Unter anderem zählt GPS heute bereits zu den Standardmethoden der geodätischen Punktbestimmung, wobei Genauigkeiten bis in den Millimeterbereich erzielt werden können. Dieses Buch richtet sich an alle, die eine praxisbezogene Beschreibung von GPS hinsichtlich der Beobachtung und der Auswertung suchen. Nach einer elementaren Einführung in das Prinzip von GPS werden die wichtigsten Aspekte der Beobachtung beginnend von der Planung über die Durchführung bis zur Berechnung der Basisvektoren beschrieben. Das Schwergewicht des Buches liegt in der Auswertung. Im Detail werden die Netzbildung, die Transformation der GPS-Ergebnisse in das lokale geodätische Datum sowie die gemeinsame Ausgleichung von GPS und terrestrischen Messungen behandelt, wobei zahlreiche numerische Beispiele angeführt sind. Im Anhang sind neben den Zahlenwerten für die Parameter der bekanntesten Ellipsoide auch die Formelsysteme für die gebräuchlichsten konformen Abbildungen enthalten.


Author: Wolfgang Torge

Publisher: Walter de Gruyter

ISBN: 3110198177

Category: Science

Page: 379

View: 3415

This book gives a systematic overview of the fundamental theories, frameworks and methods for measurement and evaluation applying to geodesy, though the contribution of geodetic spatial techniques for positioning and for establishing the gravitational field receives particular emphasis. These methods have led to a change in the setting up of geodetic basic networks that is also of importance in practical terms; for interdisciplinary geodynamics research geodesy can likewise make major contributions with their assistance. The current status of geodesy is illustrated by numerous examples from survey, evaluation and analysis; an extensive literature list makes further study all the easier. The book conveys an extensive overview of the profound changes that geodesy has undergone in the past twenty years.